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Finding the Fourth Proportional to 3,032.16, 4,547.16 and 2,059.08

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Solution

The fourth proportional to 3,032.16, 4,547.16 and 2,059.08 is: 3,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.16 : 4,547.16 = 2,059.08 : x
  2. Step 2: Convert to fraction form
    3,032.16/4,547.16 = 2,059.08/x
  3. Step 3: Cross multiply
    3,032.16x = 4,547.16 × 2,059.08
  4. Step 4: Simplify right side
    3,032.16x = 9,362,966.21
  5. Step 5: Solve for x
    x = 9,362,966.21/3,032.16
  6. Step 6: Final answer
    x = 3,087.89

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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.