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Finding the Fourth Proportional to 5,412.84, 7,468.98 and 3,054.60

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Solution

The fourth proportional to 5,412.84, 7,468.98 and 3,054.60 is: 4,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.84 : 7,468.98 = 3,054.60 : x
  2. Step 2: Convert to fraction form
    5,412.84/7,468.98 = 3,054.60/x
  3. Step 3: Cross multiply
    5,412.84x = 7,468.98 × 3,054.60
  4. Step 4: Simplify right side
    5,412.84x = 22,814,746.31
  5. Step 5: Solve for x
    x = 22,814,746.31/5,412.84
  6. Step 6: Final answer
    x = 4,214.93

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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.