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Finding the Fourth Proportional to 4,547.81, 6,825.40 and 2,357.17

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Solution

The fourth proportional to 4,547.81, 6,825.40 and 2,357.17 is: 3,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.81 : 6,825.40 = 2,357.17 : x
  2. Step 2: Convert to fraction form
    4,547.81/6,825.40 = 2,357.17/x
  3. Step 3: Cross multiply
    4,547.81x = 6,825.40 × 2,357.17
  4. Step 4: Simplify right side
    4,547.81x = 16,088,605.16
  5. Step 5: Solve for x
    x = 16,088,605.16/4,547.81
  6. Step 6: Final answer
    x = 3,537.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.