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Finding the Fourth Proportional to 4,574, 6,312.12 and 2,478.13

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Solution

The fourth proportional to 4,574, 6,312.12 and 2,478.13 is: 3,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574 : 6,312.12 = 2,478.13 : x
  2. Step 2: Convert to fraction form
    4,574/6,312.12 = 2,478.13/x
  3. Step 3: Cross multiply
    4,574x = 6,312.12 × 2,478.13
  4. Step 4: Simplify right side
    4,574x = 15,642,253.94
  5. Step 5: Solve for x
    x = 15,642,253.94/4,574
  6. Step 6: Final answer
    x = 3,419.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.