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Finding the Fourth Proportional to 3,884,160, 5,826,240 and 1,224,768

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Solution

The fourth proportional to 3,884,160, 5,826,240 and 1,224,768 is: 1,837,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884,160 : 5,826,240 = 1,224,768 : x
  2. Step 2: Convert to fraction form
    3,884,160/5,826,240 = 1,224,768/x
  3. Step 3: Cross multiply
    3,884,160x = 5,826,240 × 1,224,768
  4. Step 4: Simplify right side
    3,884,160x = 7,135,792,312,320
  5. Step 5: Solve for x
    x = 7,135,792,312,320/3,884,160
  6. Step 6: Final answer
    x = 1,837,152

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.