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Finding the Fourth Proportional to 5,702.60, 8,528.29 and 4,368.74

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Solution

The fourth proportional to 5,702.60, 8,528.29 and 4,368.74 is: 6,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.60 : 8,528.29 = 4,368.74 : x
  2. Step 2: Convert to fraction form
    5,702.60/8,528.29 = 4,368.74/x
  3. Step 3: Cross multiply
    5,702.60x = 8,528.29 × 4,368.74
  4. Step 4: Simplify right side
    5,702.60x = 37,257,828.09
  5. Step 5: Solve for x
    x = 37,257,828.09/5,702.60
  6. Step 6: Final answer
    x = 6,533.48

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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.