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Finding the Fourth Proportional to 4,658.30, 6,978.54 and 4,501.98

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Solution

The fourth proportional to 4,658.30, 6,978.54 and 4,501.98 is: 6,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.30 : 6,978.54 = 4,501.98 : x
  2. Step 2: Convert to fraction form
    4,658.30/6,978.54 = 4,501.98/x
  3. Step 3: Cross multiply
    4,658.30x = 6,978.54 × 4,501.98
  4. Step 4: Simplify right side
    4,658.30x = 31,417,247.51
  5. Step 5: Solve for x
    x = 31,417,247.51/4,658.30
  6. Step 6: Final answer
    x = 6,744.36

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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.