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Finding the Fourth Proportional to 4,702.39, 7,053.77 and 1,415.95

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Solution

The fourth proportional to 4,702.39, 7,053.77 and 1,415.95 is: 2,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.39 : 7,053.77 = 1,415.95 : x
  2. Step 2: Convert to fraction form
    4,702.39/7,053.77 = 1,415.95/x
  3. Step 3: Cross multiply
    4,702.39x = 7,053.77 × 1,415.95
  4. Step 4: Simplify right side
    4,702.39x = 9,987,785.63
  5. Step 5: Solve for x
    x = 9,987,785.63/4,702.39
  6. Step 6: Final answer
    x = 2,123.98

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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.