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Finding the Fourth Proportional to 4,702.62, 7,054.95 and 1,415.46

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Solution

The fourth proportional to 4,702.62, 7,054.95 and 1,415.46 is: 2,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.62 : 7,054.95 = 1,415.46 : x
  2. Step 2: Convert to fraction form
    4,702.62/7,054.95 = 1,415.46/x
  3. Step 3: Cross multiply
    4,702.62x = 7,054.95 × 1,415.46
  4. Step 4: Simplify right side
    4,702.62x = 9,985,999.53
  5. Step 5: Solve for x
    x = 9,985,999.53/4,702.62
  6. Step 6: Final answer
    x = 2,123.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.