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Finding the Fourth Proportional to 4,692.15, 7,038.50 and 1,572.57

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Solution

The fourth proportional to 4,692.15, 7,038.50 and 1,572.57 is: 2,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.15 : 7,038.50 = 1,572.57 : x
  2. Step 2: Convert to fraction form
    4,692.15/7,038.50 = 1,572.57/x
  3. Step 3: Cross multiply
    4,692.15x = 7,038.50 × 1,572.57
  4. Step 4: Simplify right side
    4,692.15x = 11,068,526.08
  5. Step 5: Solve for x
    x = 11,068,526.08/4,692.15
  6. Step 6: Final answer
    x = 2,358.95

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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.