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Finding the Fourth Proportional to 4,952.86, 7,430.48 and 1,490.11

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Solution

The fourth proportional to 4,952.86, 7,430.48 and 1,490.11 is: 2,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.86 : 7,430.48 = 1,490.11 : x
  2. Step 2: Convert to fraction form
    4,952.86/7,430.48 = 1,490.11/x
  3. Step 3: Cross multiply
    4,952.86x = 7,430.48 × 1,490.11
  4. Step 4: Simplify right side
    4,952.86x = 11,072,232.55
  5. Step 5: Solve for x
    x = 11,072,232.55/4,952.86
  6. Step 6: Final answer
    x = 2,235.52

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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.