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Finding the Fourth Proportional to 4,547.16, 6,785.28 and 4,056.84

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Solution

The fourth proportional to 4,547.16, 6,785.28 and 4,056.84 is: 6,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.16 : 6,785.28 = 4,056.84 : x
  2. Step 2: Convert to fraction form
    4,547.16/6,785.28 = 4,056.84/x
  3. Step 3: Cross multiply
    4,547.16x = 6,785.28 × 4,056.84
  4. Step 4: Simplify right side
    4,547.16x = 27,526,795.32
  5. Step 5: Solve for x
    x = 27,526,795.32/4,547.16
  6. Step 6: Final answer
    x = 6,053.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.