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Finding the Fourth Proportional to 5,437, 7,503.08 and 2,953

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Solution

The fourth proportional to 5,437, 7,503.08 and 2,953 is: 4,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437 : 7,503.08 = 2,953 : x
  2. Step 2: Convert to fraction form
    5,437/7,503.08 = 2,953/x
  3. Step 3: Cross multiply
    5,437x = 7,503.08 × 2,953
  4. Step 4: Simplify right side
    5,437x = 22,156,595.24
  5. Step 5: Solve for x
    x = 22,156,595.24/5,437
  6. Step 6: Final answer
    x = 4,075.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.