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Finding the Fourth Proportional to 5,303.32, 7,315.86 and 3,177.16

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Solution

The fourth proportional to 5,303.32, 7,315.86 and 3,177.16 is: 4,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.32 : 7,315.86 = 3,177.16 : x
  2. Step 2: Convert to fraction form
    5,303.32/7,315.86 = 3,177.16/x
  3. Step 3: Cross multiply
    5,303.32x = 7,315.86 × 3,177.16
  4. Step 4: Simplify right side
    5,303.32x = 23,243,657.76
  5. Step 5: Solve for x
    x = 23,243,657.76/5,303.32
  6. Step 6: Final answer
    x = 4,382.85

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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.