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Finding the Fourth Proportional to 4,970.61, 7,455.87 and 2,365.65

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Solution

The fourth proportional to 4,970.61, 7,455.87 and 2,365.65 is: 3,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.61 : 7,455.87 = 2,365.65 : x
  2. Step 2: Convert to fraction form
    4,970.61/7,455.87 = 2,365.65/x
  3. Step 3: Cross multiply
    4,970.61x = 7,455.87 × 2,365.65
  4. Step 4: Simplify right side
    4,970.61x = 17,637,978.87
  5. Step 5: Solve for x
    x = 17,637,978.87/4,970.61
  6. Step 6: Final answer
    x = 3,548.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.