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Finding the Fourth Proportional to 4,792.32, 6,617.34 and 4,547.70

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Solution

The fourth proportional to 4,792.32, 6,617.34 and 4,547.70 is: 6,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.32 : 6,617.34 = 4,547.70 : x
  2. Step 2: Convert to fraction form
    4,792.32/6,617.34 = 4,547.70/x
  3. Step 3: Cross multiply
    4,792.32x = 6,617.34 × 4,547.70
  4. Step 4: Simplify right side
    4,792.32x = 30,093,677.12
  5. Step 5: Solve for x
    x = 30,093,677.12/4,792.32
  6. Step 6: Final answer
    x = 6,279.56

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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.