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Finding the Fourth Proportional to 5,203.30, 7,798.14 and 4,543.51

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Solution

The fourth proportional to 5,203.30, 7,798.14 and 4,543.51 is: 6,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.30 : 7,798.14 = 4,543.51 : x
  2. Step 2: Convert to fraction form
    5,203.30/7,798.14 = 4,543.51/x
  3. Step 3: Cross multiply
    5,203.30x = 7,798.14 × 4,543.51
  4. Step 4: Simplify right side
    5,203.30x = 35,430,927.07
  5. Step 5: Solve for x
    x = 35,430,927.07/5,203.30
  6. Step 6: Final answer
    x = 6,809.32

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1.5x scale

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.