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Finding the Fourth Proportional to 4,527, 6,250.50 and 3,127.32

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Solution

The fourth proportional to 4,527, 6,250.50 and 3,127.32 is: 4,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527 : 6,250.50 = 3,127.32 : x
  2. Step 2: Convert to fraction form
    4,527/6,250.50 = 3,127.32/x
  3. Step 3: Cross multiply
    4,527x = 6,250.50 × 3,127.32
  4. Step 4: Simplify right side
    4,527x = 19,547,313.66
  5. Step 5: Solve for x
    x = 19,547,313.66/4,527
  6. Step 6: Final answer
    x = 4,317.94

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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.