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Finding the Fourth Proportional to 4,702.87, 7,055.48 and 1,415.89

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Solution

The fourth proportional to 4,702.87, 7,055.48 and 1,415.89 is: 2,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.87 : 7,055.48 = 1,415.89 : x
  2. Step 2: Convert to fraction form
    4,702.87/7,055.48 = 1,415.89/x
  3. Step 3: Cross multiply
    4,702.87x = 7,055.48 × 1,415.89
  4. Step 4: Simplify right side
    4,702.87x = 9,989,783.58
  5. Step 5: Solve for x
    x = 9,989,783.58/4,702.87
  6. Step 6: Final answer
    x = 2,124.19

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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.