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Finding the Fourth Proportional to 5,058.52, 7,585.84 and 1,547.45

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Solution

The fourth proportional to 5,058.52, 7,585.84 and 1,547.45 is: 2,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.52 : 7,585.84 = 1,547.45 : x
  2. Step 2: Convert to fraction form
    5,058.52/7,585.84 = 1,547.45/x
  3. Step 3: Cross multiply
    5,058.52x = 7,585.84 × 1,547.45
  4. Step 4: Simplify right side
    5,058.52x = 11,738,708.11
  5. Step 5: Solve for x
    x = 11,738,708.11/5,058.52
  6. Step 6: Final answer
    x = 2,320.58

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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.