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Finding the Fourth Proportional to 5,148.84, 7,657.01 and 4,984.81

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Solution

The fourth proportional to 5,148.84, 7,657.01 and 4,984.81 is: 7,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.84 : 7,657.01 = 4,984.81 : x
  2. Step 2: Convert to fraction form
    5,148.84/7,657.01 = 4,984.81/x
  3. Step 3: Cross multiply
    5,148.84x = 7,657.01 × 4,984.81
  4. Step 4: Simplify right side
    5,148.84x = 38,168,740.02
  5. Step 5: Solve for x
    x = 38,168,740.02/5,148.84
  6. Step 6: Final answer
    x = 7,413.08

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Why These Related Problems?

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