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Finding the Fourth Proportional to 4,698.40, 7,056.64 and 4,509.08

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Solution

The fourth proportional to 4,698.40, 7,056.64 and 4,509.08 is: 6,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.40 : 7,056.64 = 4,509.08 : x
  2. Step 2: Convert to fraction form
    4,698.40/7,056.64 = 4,509.08/x
  3. Step 3: Cross multiply
    4,698.40x = 7,056.64 × 4,509.08
  4. Step 4: Simplify right side
    4,698.40x = 31,818,954.29
  5. Step 5: Solve for x
    x = 31,818,954.29/4,698.40
  6. Step 6: Final answer
    x = 6,772.30

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Why These Related Problems?

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