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Finding the Fourth Proportional to 5,027.09, 7,503.88 and 4,656.50

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Solution

The fourth proportional to 5,027.09, 7,503.88 and 4,656.50 is: 6,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.09 : 7,503.88 = 4,656.50 : x
  2. Step 2: Convert to fraction form
    5,027.09/7,503.88 = 4,656.50/x
  3. Step 3: Cross multiply
    5,027.09x = 7,503.88 × 4,656.50
  4. Step 4: Simplify right side
    5,027.09x = 34,941,817.22
  5. Step 5: Solve for x
    x = 34,941,817.22/5,027.09
  6. Step 6: Final answer
    x = 6,950.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.