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Finding the Fourth Proportional to 5,303.61, 7,316.49 and 3,178.13

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Solution

The fourth proportional to 5,303.61, 7,316.49 and 3,178.13 is: 4,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.61 : 7,316.49 = 3,178.13 : x
  2. Step 2: Convert to fraction form
    5,303.61/7,316.49 = 3,178.13/x
  3. Step 3: Cross multiply
    5,303.61x = 7,316.49 × 3,178.13
  4. Step 4: Simplify right side
    5,303.61x = 23,252,719.78
  5. Step 5: Solve for x
    x = 23,252,719.78/5,303.61
  6. Step 6: Final answer
    x = 4,384.32

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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.