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Finding the Fourth Proportional to 4,547.47, 6,270.14 and 3,112.53

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Solution

The fourth proportional to 4,547.47, 6,270.14 and 3,112.53 is: 4,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.47 : 6,270.14 = 3,112.53 : x
  2. Step 2: Convert to fraction form
    4,547.47/6,270.14 = 3,112.53/x
  3. Step 3: Cross multiply
    4,547.47x = 6,270.14 × 3,112.53
  4. Step 4: Simplify right side
    4,547.47x = 19,516,000.71
  5. Step 5: Solve for x
    x = 19,516,000.71/4,547.47
  6. Step 6: Final answer
    x = 4,291.61

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