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Finding the Fourth Proportional to 5,303.08, 7,901.33 and 5,005

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Solution

The fourth proportional to 5,303.08, 7,901.33 and 5,005 is: 7,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.08 : 7,901.33 = 5,005 : x
  2. Step 2: Convert to fraction form
    5,303.08/7,901.33 = 5,005/x
  3. Step 3: Cross multiply
    5,303.08x = 7,901.33 × 5,005
  4. Step 4: Simplify right side
    5,303.08x = 39,546,156.65
  5. Step 5: Solve for x
    x = 39,546,156.65/5,303.08
  6. Step 6: Final answer
    x = 7,457.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.