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Finding the Fourth Proportional to 5,307.02, 7,323.50 and 2,949

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Solution

The fourth proportional to 5,307.02, 7,323.50 and 2,949 is: 4,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.02 : 7,323.50 = 2,949 : x
  2. Step 2: Convert to fraction form
    5,307.02/7,323.50 = 2,949/x
  3. Step 3: Cross multiply
    5,307.02x = 7,323.50 × 2,949
  4. Step 4: Simplify right side
    5,307.02x = 21,596,986.76
  5. Step 5: Solve for x
    x = 21,596,986.76/5,307.02
  6. Step 6: Final answer
    x = 4,069.52

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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.