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Finding the Fourth Proportional to 5,235.66, 7,854.65 and 1,726.76

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Solution

The fourth proportional to 5,235.66, 7,854.65 and 1,726.76 is: 2,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.66 : 7,854.65 = 1,726.76 : x
  2. Step 2: Convert to fraction form
    5,235.66/7,854.65 = 1,726.76/x
  3. Step 3: Cross multiply
    5,235.66x = 7,854.65 × 1,726.76
  4. Step 4: Simplify right side
    5,235.66x = 13,563,060.48
  5. Step 5: Solve for x
    x = 13,563,060.48/5,235.66
  6. Step 6: Final answer
    x = 2,590.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.