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Finding the Fourth Proportional to 5,307.30, 7,320.51 and 3,421.28

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Solution

The fourth proportional to 5,307.30, 7,320.51 and 3,421.28 is: 4,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.30 : 7,320.51 = 3,421.28 : x
  2. Step 2: Convert to fraction form
    5,307.30/7,320.51 = 3,421.28/x
  3. Step 3: Cross multiply
    5,307.30x = 7,320.51 × 3,421.28
  4. Step 4: Simplify right side
    5,307.30x = 25,045,532.75
  5. Step 5: Solve for x
    x = 25,045,532.75/5,307.30
  6. Step 6: Final answer
    x = 4,719.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.