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Finding the Fourth Proportional to 5,460.58, 7,533.46 and 3,070

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Solution

The fourth proportional to 5,460.58, 7,533.46 and 3,070 is: 4,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.58 : 7,533.46 = 3,070 : x
  2. Step 2: Convert to fraction form
    5,460.58/7,533.46 = 3,070/x
  3. Step 3: Cross multiply
    5,460.58x = 7,533.46 × 3,070
  4. Step 4: Simplify right side
    5,460.58x = 23,127,722.20
  5. Step 5: Solve for x
    x = 23,127,722.20/5,460.58
  6. Step 6: Final answer
    x = 4,235.40

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Why These Related Problems?

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