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Finding the Fourth Proportional to 3,585.60, 4,948.74 and 2,259.74

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Solution

The fourth proportional to 3,585.60, 4,948.74 and 2,259.74 is: 3,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.60 : 4,948.74 = 2,259.74 : x
  2. Step 2: Convert to fraction form
    3,585.60/4,948.74 = 2,259.74/x
  3. Step 3: Cross multiply
    3,585.60x = 4,948.74 × 2,259.74
  4. Step 4: Simplify right side
    3,585.60x = 11,182,840.98
  5. Step 5: Solve for x
    x = 11,182,840.98/3,585.60
  6. Step 6: Final answer
    x = 3,118.82

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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.